1 |
Jan 9 |
Introduction; Differential Equations and Models |
1.1 |
- |
- |
HW0 assigned. |
2 |
Jan 11 |
Diff. Eq. and Models |
1.1 |
pdf |
pdf |
HW0 due; Quiz 0; HW1 assigned. |
3 |
Jan 13 |
Integrals as General and Particular Solutions |
1.2 |
- |
- |
- |
- |
Jan 16 |
MLK Day: No Class |
- |
- |
- |
- |
4 |
Jan 18 |
Slope Fields; Solution Curves |
1.3 |
pdf |
pdf |
HW1 due; Quiz 1; HW2 assigned. |
5 |
Jan 20 |
Existence and Uniqueness; Separable Equations; Applications |
1.3, 1.4 |
- |
- |
- |
6 |
Jan 23 |
Applications; Linear First-Order Diff. Eqns. |
1.4, 1.5 |
- |
- |
- |
7 |
Jan 25 |
Linear First-Order Diff. Eqns |
1.5 |
pdf |
pdf |
|
8 |
Jan 27 |
Mixture Problem; Substitution Methods |
1.5, 1.6 |
- |
- |
- |
9 |
Jan 30 |
Substitution Methods and Exact Equations |
1.6 |
- |
- |
- |
10 |
Feb 1 |
Population Models |
2.1 |
pdf |
pdf |
HW3 due; Quiz 3; HW4 assigned. |
11 |
Feb 3 |
Population Models; Equilibrium Solutions |
2.1, 2.2 |
- |
- |
- |
12 |
Feb 6 |
Review Test 1 |
1.1-1.6 |
- |
- |
- |
13 |
Feb 8 |
Test 1 |
1.1-1.6 |
pdf |
pdf |
|
14 |
Feb 10 |
Equilibrium Solutions and Stability |
2.2 |
- |
- |
- |
15 |
Feb 13 |
Acceleration--Velocity Models |
2.3 |
- |
- |
- |
16 |
Feb 15 |
Acceleration--Velocity Models |
2.3 |
pdf |
pdf |
HW4 due; HW5 assigned. |
17 |
Feb 17 |
Numerical Approximation: Euler's Method |
2.4,2.5 |
- |
- |
- |
18 |
Feb 20 |
Second-Order Linear Equations |
3.1 |
- |
- |
- |
19 |
Feb 22 |
Second-Order Linear Equations: Constant Coefficients |
3.1 |
pdf |
pdf |
HW5 due |
20 |
Feb 24 |
Complex Numbers; Euler's Formula; Complex Roots |
3.3 (p. 178-182) |
- |
- |
- |
21 |
Feb 27 |
General Solutions of Linear Equations |
3.2 |
- |
- |
- |
22 |
Feb 29 |
General Solutions of Linear Equations; Homogeneous Equations |
3.2,3.3 |
- |
- |
HW6 assigned. |
23 |
Mar 2 |
Mechanical Vibrations |
3.4 |
- |
- |
- |
24 |
Mar 12 |
Mechanical Vibrations II |
3.4 |
- |
- |
- |
25 |
Mar 14 |
Test 2 Review |
Ch 2, 3.1-3.4 |
- |
- |
- |
26 |
Mar 16 |
Test 2 |
Ch 2, 3.1-3.4 |
pdf |
pdf |
HW6 due; HW7 assigned. |
27 |
Mar 19 |
Nonhomogeneous Equations and Undetermined Coefficients |
3.5 |
- |
- |
- |
28 |
Mar 21 |
Nonhomogeneous Equations and Undetermined Coefficients II |
3.5 |
- |
- |
- |
29 |
Mar 23 |
Laplace Transforms and Inverse Transforms I |
7.1 |
- |
- |
- |
30 |
Mar 26 |
Laplace Transforms and Inverse Transforms II |
7.1 |
- |
- |
- |
31 |
Mar 28 |
Transformation of IVPs I |
7.2 |
pdf |
pdf |
HW7 due; HW8 assigned. |
32 |
Mar 30 |
Transformation of IVPs II |
7.2 |
- |
- |
- |
33 |
Apr 2 |
Transformation of IVPs III |
7.2 |
- |
- |
- |
34 |
Apr 4 |
Translation and Partial Fractions I |
7.3 |
pdf |
pdf |
HW8 due; HW9 assigned. |
35 |
Apr 6 |
Translation and Partial Fractions II |
7.3 |
- |
- |
- |
36 |
Apr 9 |
Derivatives, Integrals, and Products of Transforms I |
7.4 |
- |
- |
- |
37 |
Apr 11 |
Derivatives, Integrals, and Products of Transforms II |
7.4 |
pdf |
pdf |
HW9 due. |
38 |
Apr 13 |
Review Test 3 |
3.5, 7.1-7.4 |
- |
- |
- |
39 |
Apr 16 |
Test 3 |
3.5, 7.1-7.4 |
pdf |
pdf |
HW10 assigned. |
40 |
Apr 18 |
First-Order Systems and Applications I |
4.1 |
- |
- |
- |
41 |
Apr 20 |
First-Order Systems and Applications II |
4.1 |
- |
- |
- |
42 |
Apr 23 |
Review Final Exam |
- |
- |
- |
HW10 due. |
- |
Apr 26 |
Final Exam: Thurs. April 26, 2pm-5pm |
- |
- |
- |
- |